cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A272651 The no-3-in-line problem: maximal number of points from an n X n square grid so that no three lie on a line.

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%I A272651 #18 May 14 2016 03:55:22
%S A272651 1,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48,
%T A272651 50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92
%N A272651 The no-3-in-line problem: maximal number of points from an n X n square grid so that no three lie on a line.
%C A272651 a(47) is the first open case.
%C A272651 It is conjectured that a(n) < 2n for all sufficiently large n.
%C A272651 A000769 has an extensive list of references and links.
%C A272651 Comment from _Warren D. Smith_, May 10 2015: 2n is a trivial upper bound, because if you pick 2n+1 points, then some three must lie on a horizontal line.
%C A272651 Apart from the offset this may be the same as A103517. - _R. J. Mathar_, May 13 2016
%H A272651 A. Flammenkamp, <a href="http://wwwhomes.uni-bielefeld.de/achim/no3in/readme.html">Progress in the no-three-in-line problem</a>
%H A272651 A. Flammenkamp, <a href="http://wwwhomes.uni-bielefeld.de/achim/no3in/table.txt">Solutions of the no-three-in-line problem</a>
%Y A272651 Cf. A000769.
%K A272651 nonn,more
%O A272651 1,2
%A A272651 _N. J. A. Sloane_, May 10 2016